51446320128000 has 1792 divisors, whose sum is σ = 218500506132480. Its totient is φ = 11699748864000.

The previous prime is 51446320127999. The next prime is 51446320128019. The reversal of 51446320128000 is 82102364415.

It is a happy number.

51446320128000 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 632 + 0 + 12 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46642175449 + ... + 46642176551.

Almost surely, 2^{51446320128000} is an apocalyptic number.

51446320128000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51446320128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109250253066240).

51446320128000 is an abundant number, since it is smaller than the sum of its proper divisors (167054186004480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51446320128000 is a wasteful number, since it uses less digits than its factorization.

51446320128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 51446320128000 in words is "fifty-one trillion, four hundred forty-six billion, three hundred twenty million, one hundred twenty-eight thousand".